an:04171301
Zbl 0712.30029
Yi, Hong-Xun
Meromorphic functions that share two or three values
EN
Kodai Math. J. 13, No. 3, 363-372 (1990).
00156334
1990
j
30D35
The author proves the following: Theorem: Let f and g be meromorphic functions such that f and g share 1,\(\infty\) with the same multiplicity. If
\[
N(\gamma,\frac{1}{f})+N(\gamma,\frac{1}{g})+2\bar N(\gamma,f)<(u+o(1))T(\gamma)\quad (\gamma \in I),
\]
where \(u<1\), then \(f=g\) or \(fg=1\). This result is an extension of earlier results of the reviewer, Osgood, Gunderson and others.
Fred Gross